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Finding the Fourth Proportional to 321,348.44, 443,444.82 and 178,107.20

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Solution

The fourth proportional to 321,348.44, 443,444.82 and 178,107.20 is: 245,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,348.44 : 443,444.82 = 178,107.20 : x
  2. Step 2: Convert to fraction form
    321,348.44/443,444.82 = 178,107.20/x
  3. Step 3: Cross multiply
    321,348.44x = 443,444.82 × 178,107.20
  4. Step 4: Simplify right side
    321,348.44x = 78,980,715,244.70
  5. Step 5: Solve for x
    x = 78,980,715,244.70/321,348.44
  6. Step 6: Final answer
    x = 245,779.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.